3. The proportion of people who respond to a certain mail-order solicitation is a continuous random variable X that has the density function 1 2 < x < 4, f(x) = {60 %3D 0, elsewhere. Show that P(2 < X < 4) = 1 b) Find the probability that more than 1/5 but fewer than 1/2 of the people contacted will respond to this type of solicitation.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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3. The proportion of people who respond to a certain mail-order solicitation is a continuous random
variable X that has the density function
2< x < 4,
f(x) = 60
0,
elsewhere.
a) Show that P(2 < X < 4) = 1
b) Find the probability that more than 1/5 but fewer than 1/2 of the people contacted will respond to
this type of solicitation.
Transcribed Image Text:3. The proportion of people who respond to a certain mail-order solicitation is a continuous random variable X that has the density function 2< x < 4, f(x) = 60 0, elsewhere. a) Show that P(2 < X < 4) = 1 b) Find the probability that more than 1/5 but fewer than 1/2 of the people contacted will respond to this type of solicitation.
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